What is the Least Common Multiple of 4968 and 4977?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 4968 and 4977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4968 and 4977, than apply into the LCM equation.

GCF(4968,4977) = 9
LCM(4968,4977) = ( 4968 × 4977) / 9
LCM(4968,4977) = 24725736 / 9
LCM(4968,4977) = 2747304

Least Common Multiple (LCM) of 4968 and 4977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4968 and 4977. First we will calculate the prime factors of 4968 and 4977.

Prime Factorization of 4968

Prime Factorization of 4977

Now multiplying the highest exponent prime factors to calculate the LCM of 4968 and 4977.

LCM(4968,4977) = 2³ × 3³ × 23¹ × 7¹ × 79¹
LCM(4968,4977) = 2747304